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3 years ago

In parallelogram KLMN, m∠KLM=100°. Identify m∠KNM. HELP PLEASE!!

Mathematics

1 answer:

serg [7]3 years ago

4 0

Answer:

m∠KNM = 100°

Step-by-step explanation:

Because this is a parallelogram, we know that lines KL and MN are parallel, as are lines NK and LM. So, we can use the Opposite Interior Angles Theorem to identify m∠KNM.

The Opposite Interior Angles Theorem states that, when two parallel lines are intersected by a transversal, their opposite interior angles are congruent. The interior angle that is opposite ∠KLM is ∠KNM. Therefore they must have equal measures.

Since m∠KLM = 100°, m∠KNM must also equal 100°.

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3 years ago

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Butoxors [25]

Answer:

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Step-by-step explanation:

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3 years ago

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

$\frac{\frac{1}{2}}{-1}$

$\frac{\frac{-1}{4}}{\frac{1}{2}}$

They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

8 0

4 years ago

Calculate the factorization 16w^2+48w+36=(4w+[1])^2

stiv31 [10]

Answer:

[1] = 6

x = -3/2 is the root

Step-by-step explanation:

A perfect square trinomial is of the form ...

(a + b)² = a² +2ab +b²

You have ...

a²=16w² ⇒ a = 4w
b² = 36 ⇒ b = 6
2ab = 2(4w)(6) = 48w

Then the factorization is ...

16w² +48w +36 = (4w +6)²

This will be zero when x = -6/4 = -3/2.

3 0

3 years ago

Please help, I would appreciate it a lot

AleksAgata [21]

Answer:

Sry, Can't help.

It's soo hard!!

8 0

3 years ago